#vars [ x1, x2, x3, x4, x5, x6, x7, x8 ]



#modulo 65521

#list

[
99*x1^3 + 24067*x1^2*x2 + 41652*x1*x2^2 + 99*x2^3 + 189*x1^2*x3 + 186*x1*x2*x3 + 24067*x2^2*x3 + 189*x1*x3^2 + 41652*x2*x3^2 + 99*x3^3 + 41652*x1^2*x4 + 186*x1*x2*x4 + 189*x2^2*x4 + 186*x1*x3*x4 + 186*x2*x3*x4 + 24067*x3^2*x4 + 24067*x1*x4^2 + 189*x2*x4^2 + 41652*x3*x4^2 + 99*x4^3 + 65421*x1^2*x5 + 18*x1*x2*x5 + 65421*x2^2*x5 + 65493*x1*x3*x5 + 18*x2*x3*x5 + 65421*x3^2*x5 + 18*x1*x4*x5 + 65493*x2*x4*x5 + 18*x3*x4*x5 + 65421*x4^2*x5 + 21*x1*x5^2 + 21*x2*x5^2 + 21*x3*x5^2 + 21*x4*x5^2 + 65384*x5^3 + 65421*x1^2*x6 + 18*x1*x2*x6 + 65421*x2^2*x6 + 65493*x1*x3*x6 + 18*x2*x3*x6 + 65421*x3^2*x6 + 18*x1*x4*x6 + 65493*x2*x4*x6 + 18*x3*x4*x6 + 65421*x4^2*x6 + 32*x1*x5*x6 + 32*x2*x5*x6 + 32*x3*x5*x6 + 32*x4*x5*x6 + 65516*x5^2*x6 + 21*x1*x6^2 + 21*x2*x6^2 + 21*x3*x6^2 + 21*x4*x6^2 + 65516*x5*x6^2 + 65384*x6^3 + 65421*x1^2*x7 + 18*x1*x2*x7 + 65421*x2^2*x7 + 65493*x1*x3*x7 + 18*x2*x3*x7 + 65421*x3^2*x7 + 18*x1*x4*x7 + 65493*x2*x4*x7 + 18*x3*x4*x7 + 65421*x4^2*x7 + 38*x1*x5*x7 + 38*x2*x5*x7 + 38*x3*x5*x7 + 38*x4*x5*x7 + 65434*x5^2*x7 + 32*x1*x6*x7 + 32*x2*x6*x7 + 32*x3*x6*x7 + 32*x4*x6*x7 + 65227*x5*x6*x7 + 65516*x6^2*x7 + 21*x1*x7^2 + 21*x2*x7^2 + 21*x3*x7^2 + 21*x4*x7^2 + 65434*x5*x7^2 + 65516*x6*x7^2 + 65384*x7^3 + 65421*x1^2*x8 + 18*x1*x2*x8 + 65421*x2^2*x8 + 65493*x1*x3*x8 + 18*x2*x3*x8 + 65421*x3^2*x8 + 18*x1*x4*x8 + 65493*x2*x4*x8 + 18*x3*x4*x8 + 65421*x4^2*x8 + 32*x1*x5*x8 + 32*x2*x5*x8 + 32*x3*x5*x8 + 32*x4*x5*x8 + 65516*x5^2*x8 + 38*x1*x6*x8 + 38*x2*x6*x8 + 38*x3*x6*x8 + 38*x4*x6*x8 + 65227*x5*x6*x8 + 65434*x6^2*x8 + 32*x1*x7*x8 + 32*x2*x7*x8 + 32*x3*x7*x8 + 32*x4*x7*x8 + 65227*x5*x7*x8 + 65227*x6*x7*x8 + 65516*x7^2*x8 + 21*x1*x8^2 + 21*x2*x8^2 + 21*x3*x8^2 + 21*x4*x8^2 + 65516*x5*x8^2 + 65434*x6*x8^2 + 65516*x7*x8^2 + 65384*x8^3 + 65499*x1^2 + 20*x1*x2 + 65499*x2^2 + 65413*x1*x3 + 20*x2*x3 + 65499*x3^2 + 20*x1*x4 + 65413*x2*x4 + 20*x3*x4 + 65499*x4^2 + 36*x1*x5 + 36*x2*x5 + 36*x3*x5 + 36*x4*x5 + 8*x5^2 + 36*x1*x6 + 36*x2*x6 + 36*x3*x6 + 36*x4*x6 + 6*x5*x6 + 8*x6^2 + 36*x1*x7 + 36*x2*x7 + 36*x3*x7 + 36*x4*x7 + 156*x5*x7 + 6*x6*x7 + 8*x7^2 + 36*x1*x8 + 36*x2*x8 + 36*x3*x8 + 36*x4*x8 + 6*x5*x8 + 156*x6*x8 + 6*x7*x8 + 8*x8^2 + 65503*x1 + 65503*x2 + 65503*x3 + 65503*x4 + 65493*x5 + 65493*x6 + 65493*x7 + 65493*x8 + 37844,
40*x1^3 + 45930*x1^2*x2 + 19775*x1*x2^2 + 40*x2^3 + 32*x1^2*x3 + 224*x1*x2*x3 + 45930*x2^2*x3 + 32*x1*x3^2 + 19775*x2*x3^2 + 40*x3^3 + 19775*x1^2*x4 + 224*x1*x2*x4 + 32*x2^2*x4 + 224*x1*x3*x4 + 224*x2*x3*x4 + 45930*x3^2*x4 + 45930*x1*x4^2 + 32*x2*x4^2 + 19775*x3*x4^2 + 40*x4^3 + 65504*x1^2*x5 + 72*x1*x2*x5 + 65504*x2^2*x5 + 65411*x1*x3*x5 + 72*x2*x3*x5 + 65504*x3^2*x5 + 72*x1*x4*x5 + 65411*x2*x4*x5 + 72*x3*x4*x5 + 65504*x4^2*x5 + 65509*x1*x5^2 + 65509*x2*x5^2 + 65509*x3*x5^2 + 65509*x4*x5^2 + 68*x5^3 + 65504*x1^2*x6 + 72*x1*x2*x6 + 65504*x2^2*x6 + 65411*x1*x3*x6 + 72*x2*x3*x6 + 65504*x3^2*x6 + 72*x1*x4*x6 + 65411*x2*x4*x6 + 72*x3*x4*x6 + 65504*x4^2*x6 + 54*x1*x5*x6 + 54*x2*x5*x6 + 54*x3*x5*x6 + 54*x4*x5*x6 + 56192*x5^2*x6 + 65509*x1*x6^2 + 65509*x2*x6^2 + 65509*x3*x6^2 + 65509*x4*x6^2 + 9305*x5*x6^2 + 68*x6^3 + 65504*x1^2*x7 + 72*x1*x2*x7 + 65504*x2^2*x7 + 65411*x1*x3*x7 + 72*x2*x3*x7 + 65504*x3^2*x7 + 72*x1*x4*x7 + 65411*x2*x4*x7 + 72*x3*x4*x7 + 65504*x4^2*x7 + 20*x1*x5*x7 + 20*x2*x5*x7 + 20*x3*x5*x7 + 20*x4*x5*x7 + 216*x5^2*x7 + 54*x1*x6*x7 + 54*x2*x6*x7 + 54*x3*x6*x7 + 54*x4*x6*x7 + 252*x5*x6*x7 + 56192*x6^2*x7 + 65509*x1*x7^2 + 65509*x2*x7^2 + 65509*x3*x7^2 + 65509*x4*x7^2 + 216*x5*x7^2 + 9305*x6*x7^2 + 68*x7^3 + 65504*x1^2*x8 + 72*x1*x2*x8 + 65504*x2^2*x8 + 65411*x1*x3*x8 + 72*x2*x3*x8 + 65504*x3^2*x8 + 72*x1*x4*x8 + 65411*x2*x4*x8 + 72*x3*x4*x8 + 65504*x4^2*x8 + 54*x1*x5*x8 + 54*x2*x5*x8 + 54*x3*x5*x8 + 54*x4*x5*x8 + 9305*x5^2*x8 + 20*x1*x6*x8 + 20*x2*x6*x8 + 20*x3*x6*x8 + 20*x4*x6*x8 + 252*x5*x6*x8 + 216*x6^2*x8 + 54*x1*x7*x8 + 54*x2*x7*x8 + 54*x3*x7*x8 + 54*x4*x7*x8 + 252*x5*x7*x8 + 252*x6*x7*x8 + 56192*x7^2*x8 + 65509*x1*x8^2 + 65509*x2*x8^2 + 65509*x3*x8^2 + 65509*x4*x8^2 + 56192*x5*x8^2 + 216*x6*x8^2 + 9305*x7*x8^2 + 68*x8^3 + 22*x1^2 + 65421*x1*x2 + 22*x2^2 + 65373*x1*x3 + 65421*x2*x3 + 22*x3^2 + 65421*x1*x4 + 65373*x2*x4 + 65421*x3*x4 + 22*x4^2 + 192*x5*x6 + 16*x5*x7 + 192*x6*x7 + 192*x5*x8 + 16*x6*x8 + 192*x7*x8 + 14*x1 + 14*x2 + 14*x3 + 14*x4 + 65501*x5 + 65501*x6 + 65501*x7 + 65501*x8 + 3211,
15*x1^3 + 8719*x1^2*x2 + 56744*x1*x2^2 + 15*x2^3 + 65282*x1^2*x3 + 65403*x1*x2*x3 + 8719*x2^2*x3 + 65282*x1*x3^2 + 56744*x2*x3^2 + 15*x3^3 + 56744*x1^2*x4 + 65403*x1*x2*x4 + 65282*x2^2*x4 + 65403*x1*x3*x4 + 65403*x2*x3*x4 + 8719*x3^2*x4 + 8719*x1*x4^2 + 65282*x2*x4^2 + 56744*x3*x4^2 + 15*x4^3 + 40*x1^2*x5 + 74*x1*x2*x5 + 40*x2^2*x5 + 60*x1*x3*x5 + 74*x2*x3*x5 + 40*x3^2*x5 + 74*x1*x4*x5 + 60*x2*x4*x5 + 74*x3*x4*x5 + 40*x4^2*x5 + 65461*x1*x5^2 + 65461*x2*x5^2 + 65461*x3*x5^2 + 65461*x4*x5^2 + 65395*x5^3 + 40*x1^2*x6 + 74*x1*x2*x6 + 40*x2^2*x6 + 60*x1*x3*x6 + 74*x2*x3*x6 + 40*x3^2*x6 + 74*x1*x4*x6 + 60*x2*x4*x6 + 74*x3*x4*x6 + 40*x4^2*x6 + 65487*x1*x5*x6 + 65487*x2*x5*x6 + 65487*x3*x5*x6 + 65487*x4*x5*x6 + 22899*x5^2*x6 + 65461*x1*x6^2 + 65461*x2*x6^2 + 65461*x3*x6^2 + 65461*x4*x6^2 + 42582*x5*x6^2 + 65395*x6^3 + 40*x1^2*x7 + 74*x1*x2*x7 + 40*x2^2*x7 + 60*x1*x3*x7 + 74*x2*x3*x7 + 40*x3^2*x7 + 74*x1*x4*x7 + 60*x2*x4*x7 + 74*x3*x4*x7 + 40*x4^2*x7 + 65325*x1*x5*x7 + 65325*x2*x5*x7 + 65325*x3*x5*x7 + 65325*x4*x5*x7 + 65451*x5^2*x7 + 65487*x1*x6*x7 + 65487*x2*x6*x7 + 65487*x3*x6*x7 + 65487*x4*x6*x7 + 44*x5*x6*x7 + 22899*x6^2*x7 + 65461*x1*x7^2 + 65461*x2*x7^2 + 65461*x3*x7^2 + 65461*x4*x7^2 + 65451*x5*x7^2 + 42582*x6*x7^2 + 65395*x7^3 + 40*x1^2*x8 + 74*x1*x2*x8 + 40*x2^2*x8 + 60*x1*x3*x8 + 74*x2*x3*x8 + 40*x3^2*x8 + 74*x1*x4*x8 + 60*x2*x4*x8 + 74*x3*x4*x8 + 40*x4^2*x8 + 65487*x1*x5*x8 + 65487*x2*x5*x8 + 65487*x3*x5*x8 + 65487*x4*x5*x8 + 42582*x5^2*x8 + 65325*x1*x6*x8 + 65325*x2*x6*x8 + 65325*x3*x6*x8 + 65325*x4*x6*x8 + 44*x5*x6*x8 + 65451*x6^2*x8 + 65487*x1*x7*x8 + 65487*x2*x7*x8 + 65487*x3*x7*x8 + 65487*x4*x7*x8 + 44*x5*x7*x8 + 44*x6*x7*x8 + 22899*x7^2*x8 + 65461*x1*x8^2 + 65461*x2*x8^2 + 65461*x3*x8^2 + 65461*x4*x8^2 + 22899*x5*x8^2 + 65451*x6*x8^2 + 42582*x7*x8^2 + 65395*x8^3 + 65509*x1^2 + 65475*x1*x2 + 65509*x2^2 + 65461*x1*x3 + 65475*x2*x3 + 65509*x3^2 + 65475*x1*x4 + 65461*x2*x4 + 65475*x3*x4 + 65509*x4^2 + 22*x1*x5 + 22*x2*x5 + 22*x3*x5 + 22*x4*x5 + 65468*x5^2 + 22*x1*x6 + 22*x2*x6 + 22*x3*x6 + 22*x4*x6 + 65511*x5*x6 + 65468*x6^2 + 22*x1*x7 + 22*x2*x7 + 22*x3*x7 + 22*x4*x7 + 65351*x5*x7 + 65511*x6*x7 + 65468*x7^2 + 22*x1*x8 + 22*x2*x8 + 22*x3*x8 + 22*x4*x8 + 65511*x5*x8 + 65351*x6*x8 + 65511*x7*x8 + 65468*x8^2 + 22*x1 + 22*x2 + 22*x3 + 22*x4 + 65505*x5 + 65505*x6 + 65505*x7 + 65505*x8 + 38261,
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